Answer:
Step-by-step explanation:
<u>Equivalent Fractions</u>
Two fractions are equivalent if they represent the same rational number, regardless of their expression. For example, the fraction 2/5 is equivalent to 10/25 since they both represent the number 0.4
To find if a given fraction is equivalent to another given fraction, we can simplify or amplify it until an equivalence is found or not. We can also simply perform the division and compare the results.
We must find out if the four choices are equivalent to the fraction 4/9. Let's start with the first one
We simplified it by 4 and found it's not equivalent to 4/9. The fraction
is equivalent to 4/9 when simplified by 2.
This fraction was simplified by 3 and is not equivalent to 4/9. Finally
Is equivalent to 4/9 when simplified by 3. Summarizing, these fractions are equivalent to 4/9
Given:
The three points are W(0,-2), I(2,0) and L(5,k).
To find:
The value of k for which the given points are collinear.
Solution:
We know that, three points are collinear if the area of the triangle formed by these three points is 0.
The three points are W(0,-2), I(2,0) and L(5,k). So,
Adding 6 on both sides, we get
Therefore, the correct option is E.
Answer:
(90,60)
Step-by-step explanation:
The better buy is 36 pens for $5.76 Because if you divide $5.76 by 36 pens Each pan will cost only $.16 and if you divide $4.32 by 24 pans each pen will cost $.18 so the better buy is the 36 pens.
Answer:
0.2
Step-by-step explanation:
The total number of points in PS is a sum of the number of points in :
PQ + QR + RS ;
PQ = 7 ; QR = 13 ; RS = 5
PS = (7 + 13 + 5) = 25
Probability that point selected at random is in RS ;
Required outcome = point in RS
Total possible outcomes = points in PS
Probability = RS / PS = 5 / 25 = 0.2